Question

In the given figure, find out the absolute and relative growth rate and choose the correct option.

• A. Absolute Growth Rate (AGR)- $1c{m}^2$, Relative Growth Rate (RGR) - $1c{m}^2$
• B. Absolute Growth Rate (AGR)- $100c{m}^2$ , Relative Growth Rate (RGR) - $5c{m}^2$
• C. Absolute Growth Rate (AGR)- $5c{m}^2$, Relative Growth Rate (RGR) - $100c{m}^2$
• D. Absolute Growth Rate (AGR)- $0.5c{m}^2$, Relative Growth Rate (RGR) -$100c{m}^2$

Answer 1

Answer: (C)

In the given figure, $AGR=5c{m}^2$ and RGR $=100c{m}^2$ Absolute Growth Rate (AGR) is the comparison and measurement of total growth per unit time. Initial surface area $=5c{m}^2$, Final surface area $=10c{m}^2$
$AGR=$ Final surface area $-$ Initial surface area
$=10-5=5c{m}^2$
Relative Growth Rate (RGR) is the growth of the given system per unit time expressed on a common basis, e.g. per unit initial parameter.
$RGR=\frac{\text{ Final surface area }-\text{ Initial surface area }}{\text{ Initial surface area }}\times 100$
$=\frac{10-5}{5}\times 100$
$\Rightarrow 100=100c{m}^2$